Scale Factors with Ratios in Polygons

If two polygons are similar, then the ratio of the lengths of two corresponding sides. Often referred to as k.

• Scale Factor

• Similarity Number

• Corresponding Factor

• Similar Polygons

• Isometric Factor

A transformation that moves each point along a ray through the point emanating from a fixed center point P, multiplying the distance from the center point by a common scale factor, k.

• Dilation

• Reflection

• Rotation

• Translation

• Glide Transformation

A transformation in which all corresponding angles are congruent and all corresponding sides are in proportion.

• Dilation

• Reflection

• Rotation

• Translation

• Glide Transformation

Two polygons with corresponding angles that are congruent and corresponding side lengths that are proportional.

• Corresponding Polygons

• Congruent Polygons

• Similar Polygons

• Transformed Polygons

• Isometric Polygons

• If a is greater than 1, the image of the polygon is congruent to the polygon.

• If a is between 0 and 1, the image of the polygon is congruent to the polygon.

• If a is greater than 1, the image of the polygon is smaller than the polygon.

• If a is between 0 and 1, the image of the polygon is smaller than the polygon.

If two polygons are similar, then the ratio of any two corresponding lengths in the polygons is ___________ the scale factor (or similarity ratio) of the similar polygons.

• equal to

• double

• triple

• the square of

• the square root of

If two polygons are similar, then the ratio of their perimeters is __________ the ratios of their corresponding side lengths.

• equal to

• double

• triple

• the square of

• the square root of

The polygons are similar. Find x.

• 11

• 6

• 13

• 5

The polygons are similar. What is the ratio of the smaller figure to the larger one.

• 6:7

• 1:2

• 4:5

• 5:9

Are the polygons similar? If so, what is the scale factor to make the smaller match the larger?

• Not Similar

• Similar, scaled by 6/5

• Similar, scale by 5/6

• Similar, scaled by 2